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Finding the Fourth Proportional to 7,137.18, 10,709.01 and 3,676.86

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Solution

The fourth proportional to 7,137.18, 10,709.01 and 3,676.86 is: 5,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.18 : 10,709.01 = 3,676.86 : x
  2. Step 2: Convert to fraction form
    7,137.18/10,709.01 = 3,676.86/x
  3. Step 3: Cross multiply
    7,137.18x = 10,709.01 × 3,676.86
  4. Step 4: Simplify right side
    7,137.18x = 39,375,530.51
  5. Step 5: Solve for x
    x = 39,375,530.51/7,137.18
  6. Step 6: Final answer
    x = 5,516.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.